Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 4139215814] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2820 geometric_solution 6.04443156 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.266560776342 0.762871595869 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.789894801944 2.121912929277 4 3 1 5 0132 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304327834306 0.456037104816 2 4 6 1 1302 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304327834306 0.456037104816 2 3 5 6 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074184328330 0.992644672136 6 4 2 6 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444114941483 1.127877524058 4 5 5 3 3012 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444114941483 1.127877524058 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_1, c_0101_4, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3636945/6991784*c_0101_6*c_1100_1^7 - 8592781/6991784*c_0101_6*c_1100_1^6 - 14754679/3495892*c_0101_6*c_1100_1^5 + 92269057/6991784*c_0101_6*c_1100_1^4 + 61209207/6991784*c_0101_6*c_1100_1^3 - 191981597/3495892*c_0101_6*c_1100_1^2 + 333608695/6991784*c_0101_6*c_1100_1 - 44374331/6991784*c_0101_6, c_0011_0 - 1, c_0011_2 - 3527/60274*c_0101_6*c_1100_1^7 - 1343/60274*c_0101_6*c_1100_1^6 + 17084/30137*c_0101_6*c_1100_1^5 + 6275/60274*c_0101_6*c_1100_1^4 - 136917/60274*c_0101_6*c_1100_1^3 + 5615/30137*c_0101_6*c_1100_1^2 + 91453/60274*c_0101_6*c_1100_1 + 112421/60274*c_0101_6, c_0011_5 + 496/30137*c_1100_1^7 + 693/30137*c_1100_1^6 - 5087/30137*c_1100_1^5 - 4719/30137*c_1100_1^4 + 27184/30137*c_1100_1^3 + 16937/30137*c_1100_1^2 - 60318/30137*c_1100_1 - 12614/30137, c_0101_1 + 8053/60274*c_1100_1^7 - 11169/60274*c_1100_1^6 - 42177/30137*c_1100_1^5 + 127719/60274*c_1100_1^4 + 324697/60274*c_1100_1^3 - 306936/30137*c_1100_1^2 - 46649/60274*c_1100_1 + 277271/60274, c_0101_4 + c_0101_6, c_0101_6^2 - 2535/60274*c_1100_1^7 + 43/60274*c_1100_1^6 + 11997/30137*c_1100_1^5 - 3163/60274*c_1100_1^4 - 82549/60274*c_1100_1^3 + 22552/30137*c_1100_1^2 + 31091/60274*c_1100_1 - 33355/60274, c_1100_1^8 - 2*c_1100_1^7 - 9*c_1100_1^6 + 23*c_1100_1^5 + 26*c_1100_1^4 - 105*c_1100_1^3 + 57*c_1100_1^2 + 42*c_1100_1 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB